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The Design of Modern Steel Bridges - TEDI

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68 <strong>The</strong> <strong>Design</strong> <strong>of</strong> <strong>Modern</strong> <strong>Steel</strong> <strong>Bridges</strong><br />

the horizontal wind pressure given by the new loading is 21 lb/ft 2 , which can be<br />

compared with the values <strong>of</strong> 23 and 19.5 lb/ft 2 given by the British Standard for<br />

mean hourly wind speed <strong>of</strong> 64 mile/h, 10 m height and bridge lengths 60 m and<br />

200 m, respectively. <strong>The</strong> proposed American drag coefficients <strong>of</strong> 1.5 and 2.3<br />

for solid and truss girders may be compared with the British values <strong>of</strong> 1.4 to<br />

1.0 for solid girders with b/d ratios ranging from 4 to 12, and 1.6 on the<br />

windward truss and 0.7 on the leeward truss with flat-sided members, with a<br />

solidity ratio <strong>of</strong> 0.5 and a shielding factor <strong>of</strong> 0.5. <strong>The</strong> lift coefficient <strong>of</strong> 1.0 for<br />

vertical wind load in the American proposals can be compared with the British<br />

value <strong>of</strong> 0.75 for superelevation between 1 and 5 degrees. With traffic present<br />

on the bridge the American proposal specifies V 30 ¼ 55 mile/h, which is<br />

equivalent to a gust speed <strong>of</strong> 1.41 0.8 55 ¼ 62 mile/h or 27.6 m/s, but with<br />

the wind load dependent upon the height <strong>of</strong> the bridge deck above ground or<br />

water level; this may be compared with the gust speed <strong>of</strong> 35 m/s for all heights<br />

stipulated in the British code.<br />

In the German code[6], wind load is specified as 2.5 kN/m 2 without traffic,<br />

and 1.25 kN/m 2 with traffic, to be applied to the area in projected elevation <strong>of</strong><br />

the bridge. <strong>The</strong> traffic pr<strong>of</strong>ile is taken as a 2 m high vertical surface above the<br />

bridge deck. <strong>The</strong> German loading[10] retains the above wind loading for<br />

bridges with superstructure 50 to 100 m above ground level, but makes<br />

reductions for:<br />

(1) superstructures at lower height<br />

(2) superstructures with noise barriers, in the load case without traffic.<br />

It also increases the height <strong>of</strong> the traffic pr<strong>of</strong>ile to 3.5 m.<br />

3.7 <strong>The</strong>rmal forces<br />

If the free expansion or contraction <strong>of</strong> a structure due to changes in temperature<br />

is restrained by its form <strong>of</strong> construction (e.g. portal frame, arch) or by<br />

bearings or piers, then stresses are set up inside the structure. Secondly, differences<br />

in temperature through the depth <strong>of</strong> the superstructure set up stresses<br />

if the structure is not free to deform. A differential temperature pattern in the<br />

depth <strong>of</strong> the structure represented by a single continuous straight line from the<br />

top to the bottom surface does not cause stresses in a statically determinate<br />

structure, e.g. simply supported or balanced cantilever spans, but will cause<br />

stresses in a continuous structure due to the vertical restraints provided by the<br />

piers. Normally differential temperature is not represented by a single continuous<br />

line from the top to the bottom surface, and hence causes stresses even<br />

in simple spans.<br />

In the British Standard BS 5400[2], maps <strong>of</strong> isotherms provide the extremes<br />

<strong>of</strong> shade air temperatures at sea level in different parts <strong>of</strong> the British Isles. For<br />

heights above sea level these temperatures are reduced by 0.5 C and 1.0 C for

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